Least Common Multiple of 47/712, 10/779, 870/222

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/712, 10/779, 870/222 quickly i.e. 40890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/712, 10/779, 870/222 is 40890.

LCM(47/712, 10/779, 870/222) = 40890

LCM of 47/712, 10/779, 870/222

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 47/712,10/779,870/222

Given numbers are 47/712,10/779,870/222

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 47,10,870

Least Common Multiple of Numerators i.e. LCM of 47,10,870 is 40890.

GCF of Denominators means GCF of 712,779,222 as per the given fractions.

GCF of 712,779,222 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,10,870

LCM of Fractions 47/712,10/779,870/222 is 40890

2 47, 10, 870
5 47, 5, 435
47, 1, 87

∴ So the LCM of the given numbers is 2 x 5 x 47 x 1 x 87 = 40890

Least Common Multiple of 47,10,870 with GCF Formula

Least Common Multiple of 47,10,870 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 47,10,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,10,870) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(47,10,870) x common factors =1 x 10 = 10

LCM(47,10,870) = ( 47 × 10 × 870 ) / 10

LCM(47,10,870) = 408900 / 10

LCM(47,10,870) = 40890


Lets's calculate GCF of 712,779,222

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40890/1

Therefore the LCM of Fractions 47/712,10/779,870/222 is 40890

Greatest Common Factor of 712,779,222 By Matching Biggest Common Factor Method

Greatest Common Factor of 712,779,222 By Matching Biggest Common Factor Method

Factors of 712

List of positive integer factors of 712 that divides 712 without a remainder.

1,2,4,8,89,178,356,712

Factors of 779

List of positive integer factors of 779 that divides 779 without a remainder.

1,19,41,779

Factors of 222

List of positive integer factors of 222 that divides 222 without a remainder.

1,2,3,6,37,74,111,222

Greatest Common Factor

We found the factors 712,779,222 . The biggest common factor number is the GCF number.
So the greatest common factor 712,779,222 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 47/712, 10/779, 870/222

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 47/712, 10/779, 870/222?

Answer: LCM of Numerators as per given numbers 47/712, 10/779, 870/222 is

LCM of Numerators i.e. for 47,10,870 is 40890

GCF of denominators i.e. for 712,779,222 is 1.

Thus, LCM of Fractions is 40890.Finally, LCM of Fractions for 47/712, 10/779, 870/222 is 40890.